I wouldn't say that more expensive tires are always better. Many factors go into it. For myself, I needed tires to make over 40 miles yesterday. Unfortunately, the tires on my 91 CRX HF were bald and weren't going to be up to the task of getting my fiancee and I to out destination safely. So, I had to buy four new ones.
Now, tires aren't necessarily a cheap thing to replace, especially when you're borderline broke (hoping the job interview on Tuesday yields good results). Because I don't have a ton of money, I spent $270 to replace my old tires with new ones from Headway over at my local Tire Factory. Each tire cost $67.50.
Of course, some of the more expensive ones are going to be better, but if you're in a financial bind but need to replace your tires so you can drive safely, cheap tires will definitely give you what you need for a little while until you're able to put more money into better tires.
Luckily for me, these new Headways seem to be working just fine. I noticed less road noise, the road feels smoother, and the vehicle handles a bit better. And this is a CRX we're talking about, so there's quite a bit of noise due to having very little insulation (or anything to dampen the noise). My fiancee and I made it to our destination with no problem, and we're safe and sound with family. :)